Another way to probe the superconducting gap is to look at the temperature dependence of the excess current (Fig. REF ), which is expected to scale as \(I_\text{exc} ~ \Delta /eR_N\)  [1]}, [2]}. Below 400 mK, \(I_\text{exc}\)  is well described by a scaled BCS dependence (eq. REF ) with \(T_C=\)  405 mK. This provides an upper estimate for \(\Delta \) .
